Question

Write the function whose zeros are -3 and 5. Assume a = 1.

a) f(x) = (x - 3)(x - 5)
b) f(x) = (x + 3)(x - 5)
c) f(x) = (x - 3)(x + 5)
d) f(x) = (x + 3)(x + 5)

Answer 1

To find the function whose zeros are -3 and 5 with a leading coefficient of 1, you construct factors from the zeros, giving the function f(x) = (x + 3)(x - 5), which is option b).

Step-by-step explanation:

The function whose zeros are -3 and 5, assuming a = 1, can be constructed by taking the roots and forming factors based on those roots. The zeros of the function correspond to values of x for which the function f(x) equals zero.

Therefore, if -3 and 5 are zeros, the function in factored form will have factors of (x + 3) and (x - 5). The correct option that represents the function with these zeros is option b) f(x) = (x + 3)(x - 5).